MAYBE * Step 1: Failure MAYBE + Considered Problem: - Strict TRS: del(x,cons(y,xs)) -> if2(eq(x,y),x,y,xs) del(x,nil()) -> nil() empty(cons(x,xs)) -> false() empty(nil()) -> true() eq(0(),0()) -> true() eq(0(),s(y)) -> false() eq(s(x),0()) -> false() eq(s(x),s(y)) -> eq(x,y) ge(x,0()) -> true() ge(0(),s(x)) -> false() ge(s(x),s(y)) -> ge(x,y) if1(false(),x,y,xs) -> max(cons(y,xs)) if1(true(),x,y,xs) -> max(cons(x,xs)) if2(false(),x,y,xs) -> cons(y,del(x,xs)) if2(true(),x,y,xs) -> xs if3(false(),xs) -> sort(del(max(xs),xs)) if3(true(),xs) -> nil() max(cons(x,cons(y,xs))) -> if1(ge(x,y),x,y,xs) max(cons(x,nil())) -> x max(nil()) -> 0() sort(xs) -> if3(empty(xs),xs) - Signature: {del/2,empty/1,eq/2,ge/2,if1/4,if2/4,if3/2,max/1,sort/1} / {0/0,cons/2,false/0,nil/0,s/1,true/0} - Obligation: innermost runtime complexity wrt. defined symbols {del,empty,eq,ge,if1,if2,if3,max,sort} and constructors {0 ,cons,false,nil,s,true} + Applied Processor: NaturalPI {shape = Mixed 3, restrict = NoRestrict, uargs = UArgs, urules = URules, selector = Nothing} + Details: Incompatible MAYBE